74.5.42 problem 49

Internal problem ID [16006]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number : 49
Date solved : Tuesday, January 28, 2025 at 08:26:18 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }+y&={\mathrm e}^{-t} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

dsolve(diff(y(t),t)+y(t)=exp(-t),y(t), singsol=all)
 

\[ y = \left (t +c_{1} \right ) {\mathrm e}^{-t} \]

✓ Solution by Mathematica

Time used: 0.047 (sec). Leaf size: 15

DSolve[D[y[t],t]+y[t]==Exp[-t],y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to e^{-t} (t+c_1) \]